Atkin-Lehner |
2- 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
82908j |
Isogeny class |
Conductor |
82908 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-20734794084575088 = -1 · 24 · 314 · 78 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11319,-6912479] |
[a1,a2,a3,a4,a6] |
Generators |
[176:729:1] |
Generators of the group modulo torsion |
j |
2385152/308367 |
j-invariant |
L |
5.3795669845865 |
L(r)(E,1)/r! |
Ω |
0.18152633957745 |
Real period |
R |
2.4695988995094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005869 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27636p1 82908bc1 |
Quadratic twists by: -3 -7 |